Lucas discovered many interesting new sequences and patterns. For example, the ratio of any consecutive pair of numbers in the Fibonacci sequence is approximately the golden ratio (about 1.618 ...

Though the Fibonacci sequence shows up everywhere in nature, these young mathematicians were surprised to find it in the answer to a variation of the pick-up sticks problem⁠—a nearly two ...

The rarity of four-leaf clovers is explained by Fibonacci's numerical law, highlighting the difference between three and four leaves.

Fibonacci numbers are seen in the natural structures of various plants, such as the florets in sunflower heads, areoles on cacti stems, and scales in pine cones.